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Li4PrTm3Si8

High-Entropy Materials HEA

MP-ID: mp-3296603 · Space group: Pm (#6)

Basic Information

Formula
Li4PrTm3Si8
MP-ID
mp-3296603
Elements
4
Sites
16
Density
5.0888
g/cm³
Volume
293.74
ų
Cell a
3.7716
Å
Cell b
7.6341
Å
Cell c
10.2019
Å
α Angle
89.61
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
Stability
Yes
Packing Fraction
-

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
8.67 10.2016 2.2 (0,0,1)
11.59 7.6340 1.4 (0,1,0)
14.44 6.1320 53.1 (0,1,1)
14.54 6.0924 42.2 (0,1,-1)
17.39 5.1008 3.4 (0,0,2)
20.88 4.2545 28.3 (0,1,2)
21.01 4.2280 26.9 (0,1,-2)
23.30 3.8170 13.8 (0,2,0)
24.85 3.5829 29.2 (0,2,1)
24.96 3.5671 27.0 (0,2,-1)
25.17 3.5376 61.7 (1,0,1)
27.77 3.2126 16.4 (1,1,1)
27.82 3.2069 21.1 (1,1,-1)
28.67 3.1141 20.4 (0,1,3)
28.81 3.0985 21.9 (0,1,-3)
31.70 2.8223 27.0 (1,1,2)
31.79 2.8145 27.4 (1,1,-2)
33.40 2.6828 100.0 (1,2,0)
34.53 2.5976 2.5 (1,2,1)
34.61 2.5916 1.2 (1,2,-1)
35.19 2.5504 34.3 (0,0,4)
35.23 2.5476 10.1 (0,2,3)
35.47 2.5306 12.7 (0,2,-3)
35.55 2.5256 31.6 (1,0,3)
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Energy Properties

Formation Energy/atom
-0.59365
eV/atom
Energy/atom
-14.00016
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-14.0002
eV/atom
Volume/atom
18.36
ų
c/a Ratio
2.7049

Electronic Properties

Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0008
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.500
Element Family
Metalloid-Nonmetal
Solute Fraction
0.500
Interstitial Fraction
0.500

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1803
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.8131
J/mol·K
Ω Parameter
1.4974
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
18.181%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4097
smaller = more stable mixing
VEC
4.875
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-9.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8514
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3296603
Reference Citation

The crystal structure and related material properties of Li4PrTm3Si8 were obtained from the Materials Project database (MP-ID: mp-3296603, database version v2026.04.13).

Literature Citation

Horton, M.K., Huck, P., Yang, R.X. et al. Accelerated data-driven materials science with the Materials Project. Nat. Mater. 24, 1522–1532 (2025). https://doi.org/10.1038/s41563-025-02272-0

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Li4PrTm3Si8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.77161527
_cell_length_b   7.63412405
_cell_length_c   10.20185389
_cell_angle_alpha   89.61348197
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li4PrTm3Si8
_chemical_formula_sum   'Li4 Pr1 Tm3 Si8'
_cell_volume   293.73507990
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.25000000  0.99409830  0.39329209  1.0
  Li  Li1  1  0.75000000  0.01148959  0.60971813  1.0
  Li  Li2  1  0.25000000  0.48712132  0.10582532  1.0
  Li  Li3  1  0.75000000  0.51171874  0.89419855  1.0
  Pr  Pr4  1  0.75000000  0.35791232  0.36296371  1.0
  Tm  Tm5  1  0.25000000  0.13375714  0.86315760  1.0
  Tm  Tm6  1  0.75000000  0.86057212  0.13468835  1.0
  Tm  Tm7  1  0.25000000  0.63948581  0.63749130  1.0
  Si  Si8  1  0.75000000  0.25831288  0.06079793  1.0
  Si  Si9  1  0.25000000  0.73392592  0.93172803  1.0
  Si  Si10  1  0.75000000  0.77376533  0.43205382  1.0
  Si  Si11  1  0.25000000  0.23202328  0.57834069  1.0
  Si  Si12  1  0.75000000  0.84424928  0.82023171  1.0
  Si  Si13  1  0.25000000  0.14827652  0.17175844  1.0
  Si  Si14  1  0.75000000  0.34705455  0.68517030  1.0
  Si  Si15  1  0.25000000  0.66623492  0.31858302  1.0
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